Question

he points plotted and labeled on the coordinate plane are as follows: left parenthesis negative 2 comma 4 right parenthesis, left parenthesis negative 1 comma negative 2 right parenthesis, left parenthesis 0 comma negative 4 right parenthesis, left parenthesis 1 comma negative 2 right parenthesis, and left parenthesis 2 comma 4 right parenthesis. A solid line passes through the points to form a parabola.

Create an equation that models the transformation of y=2x2
to the function in the graph.

(1 point)
Responses

y=2x2+4

y equals 2 x squared plus 4

y=2(x+4)2

y equals 2 left parenthesis x plus 4 right parenthesis sqaured

y=2x2−4

y equals 2 x squared minus 4

y=2(x−4)2

Answer 1

y = 2x^2 − 4

Reason: The parabola is y = 2x^2 shifted down 4 units (vertex at (0, −4)), so subtract 4: y = 2x^2 − 4.